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SUMMARY:Katerina Nik (University of Vienna)
DTSTART:20230417T134000Z
DTEND:20230417T151000Z
DTSTAMP:20260405T175331Z
UID:NSCM/107
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NSCM/107/">A
 nalysis of a three-dimensional model for MEMS with a hinged upper plate</a
 >\nby Katerina Nik (University of Vienna) as part of Nečas Seminar on Con
 tinuum Mechanics\n\nLecture held in Room K3\,  Faculty of Mathematics and 
 Physics\, Charles University\, Sokolovská 83  Prague 8..\n\nAbstract\nAn 
 idealized electrostatic microelectromechanical system (MEMS) consists of a
  rigid ground plate above which a thin elastic plate is suspended. The ela
 stic plate is assumed to be hinged on its boundary. Applying a voltage dif
 ference between the two plates induces a Coulomb force that deforms the el
 astic plate. The corresponding mathematical model couples a fourth-order p
 arabolic equation for the vertical deformation of the elastic plate to the
  harmonic electrostatic potential in the free domain between the two plate
 s. In this talk\, I will present some recent results on local and global w
 ell-posedness of the model as well as on existence and non-existence of st
 ationary solutions.\n
LOCATION:https://researchseminars.org/talk/NSCM/107/
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